Semi-metrics, closure spaces and digital topology

Closure operations for digital topology

We study certain generalized topological structures, called closure operations, that are associated with -ary relations ( ¿ 1 an ordinal). It turns out that some of these structures are well-behaved with respect to connectedness and so are suitable for applications in digital topology. In particular, for any natural number n¿ 1 we ,nd an appropriate closure operation on Z, which is associated w...

Semi-Rothberger and related spaces

In this paper our focus is to study certain covering properties in topological spaces by using semi-open covers. A part of this article deals with Rothberger-type covering properties. The notions of s-Rothberger, almost s-Rothberger, star s-Rothberger, almost star s-Rothberger, strongly star s-Rothberger spaces are defined and corresponding properties are investigated.

Connectedness and continuity in digital spaces with the Khalimsky topology

2 Digital spaces 3 2.1 Topology in digital spaces . . . . . . . . . . . . . . . . . . . . 3 2.2 Spaces with a smallest basis . . . . . . . . . . . . . . . . . . . 4 2.3 Connectedness . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.4 General topological properties . . . . . . . . . . . . . . . . . . 5 2.5 Topologies on the Digital Line . . . . . . . . . . . . . . . . . . 7 2.6 The Khalim...

Polynomial Closure and Topology

Topology of Digital Images - Visual Pattern Discovery in Proximity Spaces

Reading a book is also kind of better solution when you have no enough money or time to get your own adventure. This is one of the reasons we show the topology of digital images visual pattern discovery in proximity spaces intelligent systems reference library as your friend in spending the time. For more representative collections, this book not only offers it's strategically book resource. It...